7(-x*y)=x

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Solution for 7(-x*y)=x equation:


Simplifying
7(-1x * y) = x

Multiply x * y
7(-1xy) = x

Remove parenthesis around (-1xy)
7 * -1xy = x

Multiply 7 * -1
-7xy = x

Solving
-7xy = x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-1x + -7xy = x + -1x

Combine like terms: x + -1x = 0
-1x + -7xy = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(1 + 7y) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(1 + 7y)' equal to zero and attempt to solve: Simplifying 1 + 7y = 0 Solving 1 + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7y = 0 + -1 7y = 0 + -1 Combine like terms: 0 + -1 = -1 7y = -1 Add '-7y' to each side of the equation. 7y + -7y = -1 + -7y Combine like terms: 7y + -7y = 0 0 = -1 + -7y Simplifying 0 = -1 + -7y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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